diff src/fftw-3.3.3/rdft/scalar/r2cb/r2cbIII_20.c @ 10:37bf6b4a2645

Add FFTW3

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/fftw-3.3.3/rdft/scalar/r2cb/r2cbIII_20.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,409 @@
+/*
+ * Copyright (c) 2003, 2007-11 Matteo Frigo
+ * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
+ *
+ */
+
+/* This file was automatically generated --- DO NOT EDIT */
+/* Generated on Sun Nov 25 07:41:44 EST 2012 */
+
+#include "codelet-rdft.h"
+
+#ifdef HAVE_FMA
+
+/* Generated by: ../../../genfft/gen_r2cb.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 20 -name r2cbIII_20 -dft-III -include r2cbIII.h */
+
+/*
+ * This function contains 94 FP additions, 56 FP multiplications,
+ * (or, 58 additions, 20 multiplications, 36 fused multiply/add),
+ * 59 stack variables, 6 constants, and 40 memory accesses
+ */
+#include "r2cbIII.h"
+
+static void r2cbIII_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
+     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
+     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
+     DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
+     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
+     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
+     {
+	  INT i;
+	  for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(80, rs), MAKE_VOLATILE_STRIDE(80, csr), MAKE_VOLATILE_STRIDE(80, csi)) {
+	       E TZ, TD, TW, Tw, Tt, TF, T1f, T1b;
+	       {
+		    E T1l, Tk, T9, Tj, Ta, TV, TI, Ts, TU, T1t, T11, Tx, T13, TC, T1a;
+		    E T1i, Th, Tv, Ty;
+		    {
+			 E TQ, TS, Tr, Tm, Tn;
+			 {
+			      E T1, T5, T6, T2, T3, T7, TY;
+			      T1 = Cr[WS(csr, 2)];
+			      T5 = Cr[WS(csr, 9)];
+			      T6 = Cr[WS(csr, 5)];
+			      T2 = Cr[WS(csr, 6)];
+			      T3 = Cr[WS(csr, 1)];
+			      TQ = Ci[WS(csi, 2)];
+			      T7 = T5 + T6;
+			      TY = T5 - T6;
+			      {
+				   E T4, TX, T8, Tp, Tq;
+				   T4 = T2 + T3;
+				   TX = T2 - T3;
+				   Tp = Ci[WS(csi, 5)];
+				   Tq = Ci[WS(csi, 9)];
+				   T1l = FNMS(KP618033988, TX, TY);
+				   TZ = FMA(KP618033988, TY, TX);
+				   Tk = T4 - T7;
+				   T8 = T4 + T7;
+				   TS = Tp + Tq;
+				   Tr = Tp - Tq;
+				   T9 = T1 + T8;
+				   Tj = FNMS(KP250000000, T8, T1);
+				   Tm = Ci[WS(csi, 6)];
+				   Tn = Ci[WS(csi, 1)];
+			      }
+			 }
+			 {
+			      E Tb, T19, Tg, Tc;
+			      Ta = Cr[WS(csr, 7)];
+			      {
+				   E Te, Tf, To, TR, TT;
+				   Te = Cr[0];
+				   Tf = Cr[WS(csr, 4)];
+				   To = Tm + Tn;
+				   TR = Tm - Tn;
+				   Tb = Cr[WS(csr, 3)];
+				   T19 = Te - Tf;
+				   Tg = Te + Tf;
+				   TT = TR - TS;
+				   TV = TR + TS;
+				   TI = FNMS(KP618033988, To, Tr);
+				   Ts = FMA(KP618033988, Tr, To);
+				   TU = FNMS(KP250000000, TT, TQ);
+				   T1t = TT + TQ;
+				   Tc = Cr[WS(csr, 8)];
+			      }
+			      T11 = Ci[WS(csi, 7)];
+			      {
+				   E TA, TB, Td, T18;
+				   TA = Ci[WS(csi, 4)];
+				   TB = Ci[0];
+				   Td = Tb + Tc;
+				   T18 = Tb - Tc;
+				   Tx = Ci[WS(csi, 3)];
+				   T13 = TB + TA;
+				   TC = TA - TB;
+				   T1a = FMA(KP618033988, T19, T18);
+				   T1i = FNMS(KP618033988, T18, T19);
+				   Th = Td + Tg;
+				   Tv = Td - Tg;
+				   Ty = Ci[WS(csi, 8)];
+			      }
+			 }
+		    }
+		    {
+			 E Tu, T1w, T16, TL, T15, T1u;
+			 {
+			      E Ti, T12, Tz, T14;
+			      Tu = FNMS(KP250000000, Th, Ta);
+			      Ti = Ta + Th;
+			      T12 = Tx - Ty;
+			      Tz = Tx + Ty;
+			      T1w = T9 - Ti;
+			      T14 = T12 - T13;
+			      T16 = T12 + T13;
+			      TL = FNMS(KP618033988, Tz, TC);
+			      TD = FMA(KP618033988, TC, Tz);
+			      T15 = FNMS(KP250000000, T14, T11);
+			      T1u = T14 + T11;
+			      R0[0] = KP2_000000000 * (T9 + Ti);
+			 }
+			 {
+			      E Tl, TJ, TN, T1q, T1m, TK, T1h, T17, TH, T1k, T1v;
+			      Tl = FMA(KP559016994, Tk, Tj);
+			      TH = FNMS(KP559016994, Tk, Tj);
+			      T1k = FNMS(KP559016994, TV, TU);
+			      TW = FMA(KP559016994, TV, TU);
+			      R0[WS(rs, 5)] = KP2_000000000 * (T1u - T1t);
+			      T1v = T1t + T1u;
+			      TJ = FNMS(KP951056516, TI, TH);
+			      TN = FMA(KP951056516, TI, TH);
+			      T1q = FMA(KP951056516, T1l, T1k);
+			      T1m = FNMS(KP951056516, T1l, T1k);
+			      R1[WS(rs, 7)] = KP1_414213562 * (T1w + T1v);
+			      R1[WS(rs, 2)] = KP1_414213562 * (T1v - T1w);
+			      Tw = FMA(KP559016994, Tv, Tu);
+			      TK = FNMS(KP559016994, Tv, Tu);
+			      T1h = FNMS(KP559016994, T16, T15);
+			      T17 = FMA(KP559016994, T16, T15);
+			      {
+				   E TM, TO, T1j, T1r;
+				   TM = FMA(KP951056516, TL, TK);
+				   TO = FNMS(KP951056516, TL, TK);
+				   T1j = FMA(KP951056516, T1i, T1h);
+				   T1r = FNMS(KP951056516, T1i, T1h);
+				   Tt = FNMS(KP951056516, Ts, Tl);
+				   TF = FMA(KP951056516, Ts, Tl);
+				   {
+					E T1n, T1p, T1s, T1o;
+					T1n = TN - TO;
+					R0[WS(rs, 6)] = -(KP2_000000000 * (TN + TO));
+					T1p = TM - TJ;
+					R0[WS(rs, 4)] = KP2_000000000 * (TJ + TM);
+					T1s = T1q + T1r;
+					R0[WS(rs, 9)] = KP2_000000000 * (T1r - T1q);
+					T1o = T1m + T1j;
+					R0[WS(rs, 1)] = KP2_000000000 * (T1j - T1m);
+					R1[WS(rs, 6)] = KP1_414213562 * (T1p + T1s);
+					R1[WS(rs, 1)] = KP1_414213562 * (T1p - T1s);
+					R1[WS(rs, 3)] = KP1_414213562 * (T1n + T1o);
+					R1[WS(rs, 8)] = KP1_414213562 * (T1n - T1o);
+					T1f = FMA(KP951056516, T1a, T17);
+					T1b = FNMS(KP951056516, T1a, T17);
+				   }
+			      }
+			 }
+		    }
+	       }
+	       {
+		    E TE, TG, T10, T1e;
+		    TE = FMA(KP951056516, TD, Tw);
+		    TG = FNMS(KP951056516, TD, Tw);
+		    T10 = FMA(KP951056516, TZ, TW);
+		    T1e = FNMS(KP951056516, TZ, TW);
+		    {
+			 E T1d, TP, T1g, T1c;
+			 T1d = TF - TG;
+			 R0[WS(rs, 2)] = -(KP2_000000000 * (TF + TG));
+			 TP = Tt - TE;
+			 R0[WS(rs, 8)] = KP2_000000000 * (Tt + TE);
+			 T1g = T1e + T1f;
+			 R0[WS(rs, 7)] = KP2_000000000 * (T1e - T1f);
+			 T1c = T10 + T1b;
+			 R0[WS(rs, 3)] = KP2_000000000 * (T10 - T1b);
+			 R1[WS(rs, 9)] = -(KP1_414213562 * (T1d + T1g));
+			 R1[WS(rs, 4)] = KP1_414213562 * (T1d - T1g);
+			 R1[WS(rs, 5)] = -(KP1_414213562 * (TP + T1c));
+			 R1[0] = KP1_414213562 * (TP - T1c);
+		    }
+	       }
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 20, "r2cbIII_20", {58, 20, 36, 0}, &GENUS };
+
+void X(codelet_r2cbIII_20) (planner *p) {
+     X(kr2c_register) (p, r2cbIII_20, &desc);
+}
+
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_r2cb.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 20 -name r2cbIII_20 -dft-III -include r2cbIII.h */
+
+/*
+ * This function contains 94 FP additions, 44 FP multiplications,
+ * (or, 82 additions, 32 multiplications, 12 fused multiply/add),
+ * 43 stack variables, 6 constants, and 40 memory accesses
+ */
+#include "r2cbIII.h"
+
+static void r2cbIII_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
+     DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
+     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
+     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
+     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
+     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
+     {
+	  INT i;
+	  for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(80, rs), MAKE_VOLATILE_STRIDE(80, csr), MAKE_VOLATILE_STRIDE(80, csi)) {
+	       E T1, Tj, T1k, T13, T8, Tk, T17, Ts, T16, TI, T18, T19, Ta, Tu, T1i;
+	       E TS, Th, Tv, TX, TD, TV, TL, TW, TY;
+	       {
+		    E T7, T12, T4, T11;
+		    T1 = Cr[WS(csr, 2)];
+		    {
+			 E T5, T6, T2, T3;
+			 T5 = Cr[WS(csr, 9)];
+			 T6 = Cr[WS(csr, 5)];
+			 T7 = T5 + T6;
+			 T12 = T5 - T6;
+			 T2 = Cr[WS(csr, 6)];
+			 T3 = Cr[WS(csr, 1)];
+			 T4 = T2 + T3;
+			 T11 = T2 - T3;
+		    }
+		    Tj = KP559016994 * (T4 - T7);
+		    T1k = FNMS(KP951056516, T12, KP587785252 * T11);
+		    T13 = FMA(KP951056516, T11, KP587785252 * T12);
+		    T8 = T4 + T7;
+		    Tk = FNMS(KP250000000, T8, T1);
+	       }
+	       {
+		    E Tr, T15, To, T14;
+		    T17 = Ci[WS(csi, 2)];
+		    {
+			 E Tp, Tq, Tm, Tn;
+			 Tp = Ci[WS(csi, 5)];
+			 Tq = Ci[WS(csi, 9)];
+			 Tr = Tp - Tq;
+			 T15 = Tp + Tq;
+			 Tm = Ci[WS(csi, 6)];
+			 Tn = Ci[WS(csi, 1)];
+			 To = Tm + Tn;
+			 T14 = Tm - Tn;
+		    }
+		    Ts = FMA(KP951056516, To, KP587785252 * Tr);
+		    T16 = KP559016994 * (T14 + T15);
+		    TI = FNMS(KP951056516, Tr, KP587785252 * To);
+		    T18 = T14 - T15;
+		    T19 = FNMS(KP250000000, T18, T17);
+	       }
+	       {
+		    E Tg, TR, Td, TQ;
+		    Ta = Cr[WS(csr, 7)];
+		    {
+			 E Te, Tf, Tb, Tc;
+			 Te = Cr[0];
+			 Tf = Cr[WS(csr, 4)];
+			 Tg = Te + Tf;
+			 TR = Te - Tf;
+			 Tb = Cr[WS(csr, 3)];
+			 Tc = Cr[WS(csr, 8)];
+			 Td = Tb + Tc;
+			 TQ = Tb - Tc;
+		    }
+		    Tu = KP559016994 * (Td - Tg);
+		    T1i = FNMS(KP951056516, TR, KP587785252 * TQ);
+		    TS = FMA(KP951056516, TQ, KP587785252 * TR);
+		    Th = Td + Tg;
+		    Tv = FNMS(KP250000000, Th, Ta);
+	       }
+	       {
+		    E TC, TU, Tz, TT;
+		    TX = Ci[WS(csi, 7)];
+		    {
+			 E TA, TB, Tx, Ty;
+			 TA = Ci[WS(csi, 4)];
+			 TB = Ci[0];
+			 TC = TA - TB;
+			 TU = TB + TA;
+			 Tx = Ci[WS(csi, 3)];
+			 Ty = Ci[WS(csi, 8)];
+			 Tz = Tx + Ty;
+			 TT = Ty - Tx;
+		    }
+		    TD = FMA(KP951056516, Tz, KP587785252 * TC);
+		    TV = KP559016994 * (TT - TU);
+		    TL = FNMS(KP587785252, Tz, KP951056516 * TC);
+		    TW = TT + TU;
+		    TY = FMA(KP250000000, TW, TX);
+	       }
+	       {
+		    E T9, Ti, T1w, T1t, T1u, T1v;
+		    T9 = T1 + T8;
+		    Ti = Ta + Th;
+		    T1w = T9 - Ti;
+		    T1t = T18 + T17;
+		    T1u = TX - TW;
+		    T1v = T1t + T1u;
+		    R0[0] = KP2_000000000 * (T9 + Ti);
+		    R0[WS(rs, 5)] = KP2_000000000 * (T1u - T1t);
+		    R1[WS(rs, 2)] = KP1_414213562 * (T1v - T1w);
+		    R1[WS(rs, 7)] = KP1_414213562 * (T1w + T1v);
+	       }
+	       {
+		    E TJ, TO, T1m, T1q, TM, TN, T1j, T1r;
+		    {
+			 E TH, T1l, TK, T1h;
+			 TH = Tk - Tj;
+			 TJ = TH + TI;
+			 TO = TH - TI;
+			 T1l = T19 - T16;
+			 T1m = T1k + T1l;
+			 T1q = T1l - T1k;
+			 TK = Tv - Tu;
+			 TM = TK + TL;
+			 TN = TL - TK;
+			 T1h = TV + TY;
+			 T1j = T1h - T1i;
+			 T1r = T1i + T1h;
+		    }
+		    R0[WS(rs, 4)] = KP2_000000000 * (TJ + TM);
+		    R0[WS(rs, 6)] = KP2_000000000 * (TN - TO);
+		    R0[WS(rs, 9)] = KP2_000000000 * (T1r - T1q);
+		    R0[WS(rs, 1)] = KP2_000000000 * (T1j - T1m);
+		    {
+			 E T1p, T1s, T1n, T1o;
+			 T1p = TM - TJ;
+			 T1s = T1q + T1r;
+			 R1[WS(rs, 1)] = KP1_414213562 * (T1p - T1s);
+			 R1[WS(rs, 6)] = KP1_414213562 * (T1p + T1s);
+			 T1n = TO + TN;
+			 T1o = T1m + T1j;
+			 R1[WS(rs, 8)] = KP1_414213562 * (T1n - T1o);
+			 R1[WS(rs, 3)] = KP1_414213562 * (T1n + T1o);
+		    }
+	       }
+	       {
+		    E Tt, TG, T1b, T1f, TE, TF, T10, T1e;
+		    {
+			 E Tl, T1a, Tw, TZ;
+			 Tl = Tj + Tk;
+			 Tt = Tl - Ts;
+			 TG = Tl + Ts;
+			 T1a = T16 + T19;
+			 T1b = T13 + T1a;
+			 T1f = T1a - T13;
+			 Tw = Tu + Tv;
+			 TE = Tw + TD;
+			 TF = TD - Tw;
+			 TZ = TV - TY;
+			 T10 = TS + TZ;
+			 T1e = TZ - TS;
+		    }
+		    R0[WS(rs, 8)] = KP2_000000000 * (Tt + TE);
+		    R0[WS(rs, 2)] = KP2_000000000 * (TF - TG);
+		    R0[WS(rs, 7)] = KP2_000000000 * (T1f + T1e);
+		    R0[WS(rs, 3)] = KP2_000000000 * (T1b + T10);
+		    {
+			 E T1d, T1g, TP, T1c;
+			 T1d = TG + TF;
+			 T1g = T1e - T1f;
+			 R1[WS(rs, 4)] = KP1_414213562 * (T1d + T1g);
+			 R1[WS(rs, 9)] = KP1_414213562 * (T1g - T1d);
+			 TP = Tt - TE;
+			 T1c = T10 - T1b;
+			 R1[0] = KP1_414213562 * (TP + T1c);
+			 R1[WS(rs, 5)] = KP1_414213562 * (T1c - TP);
+		    }
+	       }
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 20, "r2cbIII_20", {82, 32, 12, 0}, &GENUS };
+
+void X(codelet_r2cbIII_20) (planner *p) {
+     X(kr2c_register) (p, r2cbIII_20, &desc);
+}
+
+#endif				/* HAVE_FMA */